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Geometry of Quantum Theory: Volume 1

Posted By: AvaxGenius
Geometry of Quantum Theory: Volume 1

Geometry of Quantum Theory: Volume 1 by V. S. Varadarajan
English | PDF | 1968 | 204 Pages | ISBN : 146157708X | 15.4 MB

The present work is the first volume of a substantially enlarged version of the mimeographed notes of a course of lectures first given by me in the Indian Statistical Institute, Calcutta, India, during 1964-65. When it was suggested that these lectures be developed into a book, I readily agreed and took the opportunity to extend the scope of the material covered. No background in physics is in principle necessary for understand­ ing the essential ideas in this work. However, a high degree of mathematical maturity is certainly indispensable.

Geometry of Quantum Theory, Second Edition

Posted By: AvaxGenius
Geometry of Quantum Theory, Second Edition

Geometry of Quantum Theory, Second Edition by V. S. Varadarajan
English | PDF | 1968 | 426 Pages | ISBN : 0387493859 | 42.2 MB

this book is a classic on the foundations of quantum theory. It examines the subject from a point of view that goes back to Heisenberg and Dirac, and whose definitive mathematical formulation is due to von Neumann. This view, which is essentially geometric and relies on the concept of symmetry, leads most naturally to the fundamental questions that are the basis of all attempts to understand the world of atomic and subatomic particles. The mathematical treatment of symmetry in quantum theory is based on the theory of group representations, and this book includes a self-contained treatment of the parts of this theory that are most useful in quantum physics.

Oscillator Representation in Quantum Physics

Posted By: AvaxGenius
Oscillator Representation in Quantum Physics

Oscillator Representation in Quantum Physics by M. Dineykhan
English | PDF | 1995 | 281 Pages | ISBN : 3540590854 | 10.8 MB

This book describes in detail the oscillator representation method and its application to an approximate solution of the Schrödinger equation with an appropriate interaction Hamiltonian. The method also works well in quantum field theory in the strong coupling regime in calculations of path integrals, as explained by the authors. Furthermore, spectral problems in quantum mechanics are treated.